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Paladinen [302]
3 years ago
9

Will mark brainliest, pls explain!!

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:B

Step-by-step explanation:

alukav5142 [94]3 years ago
6 0

Answer:

  • B-Neither ordered pair is a solution.

Step-by-step explanation:

<h3>Given</h3>

<u>Equation </u>

  • 6x−y^2=14

<u>Ordered pairs </u>

  • (−9,3) and (2,−4)
<h3>Verifying pairs</h3>

(−9,3)

  • 6(-9) - 3^2 = 14
  • -54 - 9 = 14
  • -63 = 14
  • Incorrect

(2,−4)

  • 6(2) - (-4)^2 = 14
  • 12 - 16 = 14
  • -4 = 14
  • Incorrect

Correct option is B

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The only possible choice is 1

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the ratio of the ages of two children is 2:3. If the younger child is 4 years old, how old is the other child
yKpoI14uk [10]
Answer:  The other child is "6 years old". 
________________________________________________
Explanation:
________________________________________________

Set up the ratio as a fraction: 

  →  " 2/3 = 4/x " ;  Solve for "x"  (the age; in "years", of the "other child") ;  

<u>Note</u>:  GIven the ratios of two children is: 2:3  ; and there is a younger child among the two children;  the number "2" would represent the "younger child; since there are 2 (two) children;  and there are 2 (two) numbers in the given ratios; and among the 2 (two) numbers given in the ratio  — which are:  "2" and "3" ;  the given number: "2" is LESS THAN the given number "3" ; 

As such:
____________________________________________________
 
  →   " 2/3 = 4/x " ;  Solve for "x" ;  

Cross-multiply; 

2x = 3*4 ; 

2x = 12 ;

Divide each side of the equation by "2" ; 
 to isolate "x" on one side of the equation; & to solve for "x" ; 

2x/2 = 12/2 ; 

to get:
_______________________________________________
" x = 6 "
_______________________________________________
Alternate method:
_______________________________________________

Set up the ratio:
_____________________________________________

   →  " 2/3 = 4/x " ;  Solve for "x" ;   

Recognize that:  "2/3 = 4/6" ;  and that:  "x = 6" ; 
______________________________________________
Alternate method:
______________________________________________
Set up the ratio:
_______________________________________________

   →  " 2/3 = 4/x " ;  Solve for "x" ;   

In the "numerator":  → " 2 * [what value?] = 4 ? "
   → To find that value:  " 4 ÷ 2 = "2 " . 

As such:  Multiply the given:  "3" in the "denominator" by "2" ; to get: 
_______________________________________________
"3 * 2 = "x" ;   ↔  " x = 6 " . 
_______________________________________________
Answer:  The other child is "6 years old". 
_______________________________________________
Check our answer: 

The given ratio:  2/3 =? 4/6 ?  Yes! 

{You can even check this using a calculator—if you wish.}.
_______________________________________________
5 0
3 years ago
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